Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68450n |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5434560 |
Modular degree for the optimal curve |
Δ |
-2.0306521842981E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -6 2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1978633,-6772365459] |
[a1,a2,a3,a4,a6] |
j |
675/16 |
j-invariant |
L |
0.23550711022653 |
L(r)(E,1)/r! |
Ω |
0.058876773148005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450br1 68450bf1 |
Quadratic twists by: 5 37 |